Non-amenable tight squeezes by Kirchberg algebras
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Publication:2134199
DOI10.1007/s00208-021-02262-yzbMath1504.46074arXiv1908.02971OpenAlexW2964808454MaRDI QIDQ2134199
Publication date: 6 May 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.02971
rigid inclusionKirchberg algebramaximal subalgebrasimplepurely infiniteapproximately inner actionnon-exactnon-nuclear
Noncommutative dynamical systems (46L55) Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Kasparov theory ((KK)-theory) (19K35)
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- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras
- Minimal ambient nuclear \(C^\ast\)-algebras
- Examples of groups which are not weakly amenable
- Decomposition rank of UHF-absorbing \(C^\ast\)-algebras
- Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
- \(C^*\)-simplicity and the unique trace property for discrete groups
- Maximal injective subalgebras in factors associated with free groups
- Power's property and simple \(C^*\)-algebras
- Injective envelopes of \(C^*\)-dynamical systems
- Systèmes dynamiques non commutatifs et moyennabilité. (Non commutative dynamical systems and amenability)
- KK-groups of crossed products by groups acting on trees
- Injective envelopes of operator systems
- K-theory for certain C*-algebras
- Outer automorphisms and reduced crossed products of simple C*-algebras
- On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
- \(C^*\)-algebras of real rank zero
- Simplicity of the \(C^*\)-algebra associated with the free group on two generators
- Injective envelopes of \(C^*\)-algebras
- A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
- On ``Problems on von Neumann algebras by R. Kadison, 1967
- Bivariant \(K\)-theory and the Novikov conjecture
- Simple injective subfactors
- Ergodic theory and maximal abelian subalgebras of the hyperfinite factor
- On tensor products of von Neumann algebras
- A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
- Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II
- Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
- Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide
- Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces
- Boundaries of reduced \(C^\ast\)-algebras of discrete groups
- Group C*-algebras as decreasing intersection of nuclear C*-algebras
- Amenability and exactness for dynamical systems and their 𝐶*-algebras
- Boundaries of reduced free group C*-algebras
- Excising States of C*-Algebras
- A Property of Purely Infinite Simple C ∗ -Algebras
- Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
- Simplicity and the stable rank of some free product C*-algebras
- Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.
- Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
- Homogeneity of the Pure State Space of a Separable C*-Algebra
- Nonnuclear subalgebras of AF algebras
- Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
- Splitting for subalgebras of tensor products
- A criterion for splitting $C^\ast $-algebras in tensor products
- On pathological properties of fixed point algebras in Kirchberg algebras
- Rigid Sides of Approximately Finite-Dimensional Simple Operator Algebras in Non-Separable Category
- Poly-ℤ Group Actions on Kirchberg Algebras I
- \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space